Skip to main content
SpringerLink
Log in

Asymptotic behavior of solutions of stochastic functional-differential equations with Poisson switchings

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We obtain conditions of global asymptotic stability of solutions of stochastic functional-differential equations with Poisson switchings.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Billingsley, Convergence of Probability Measures, Wiley, New York (1974).

    Google Scholar 

  2. E. F. Tsar’kov and V. K. Yasinskii, Quasilinear Stochastic Functional-Differential Equations [in Russian], Orientir, Riga (1992).

    Google Scholar 

  3. I. I. Gikhman and A. V. Skorokhod, Stochastic Differential Equations [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  4. E. F. Tsar’kov, Random Perturbations of Functional-Differential Equations [in Russian], Zinatne, Riga (1989).

    Google Scholar 

  5. H. J. Kushner, “On the stability of processes defined by stochastic difference-differential equations,” J. Different. Equat., 4, 424–443 (1968).

    Article  MATH  MathSciNet  Google Scholar 

  6. V. B. Kolmanovskii and V. R. Nosov, Stability and Periodic Modes of Controlled Systems with Aftereffect [in Russian], Nauka, Moscow (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chernovtsy University, Chernovtsy

    V. K. Yasinskii & G. I. Gotinchan

Authors
  1. V. K. Yasinskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. I. Gotinchan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol.50, No. 6, pp. 845–861, June, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yasinskii, V.K., Gotinchan, G.I. Asymptotic behavior of solutions of stochastic functional-differential equations with Poisson switchings. Ukr Math J 50, 960–978 (1998). https://doi.org/10.1007/BF02515230

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02515230

Keywords

Search

Navigation